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Finding the Third Proportional to 5,932,031 and 12,951,406

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Solution

The third proportional to 5,932,031 and 12,951,406 is: 28,276,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932,031 : 12,951,406 = 12,951,406 : x
  2. Step 2: Convert to fraction form
    5,932,031/12,951,406 = 12,951,406/x
  3. Step 3: Cross multiply
    5,932,031x = 12,951,406 × 12,951,406
  4. Step 4: Simplify right side
    5,932,031x = 167,738,917,376,836
  5. Step 5: Solve for x
    x = 167,738,917,376,836/5,932,031
  6. Step 6: Final answer
    x = 28,276,810.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.